30 citations · 61 across the 30 of their papers we have counts for
6 papers · 2 filters
Mean Square Stability for Stochastic Jump Linear Systems via Optimal Transport
Kooktae Lee, Abhishek Halder, Raktim Bhattacharya
In this note, we provide a unified framework for the mean square stability of stochastic jump linear systems via optimal transport. The Wasserstein metric known as an optimal trans…
Probabilistic Robustness Analysis of Stochastic Jump Linear Systems
Kooktae Lee, Abhishek Halder, Raktim Bhattacharya
In this paper, we propose a new method to measure the probabilistic robustness of stochastic jump linear system with respect to both the initial state uncertainties and the randomn…
Performance and Robustness Analysis of Stochastic Jump Linear Systems using Wasserstein metric
Kooktae Lee, Abhishek Halder, Raktim Bhattacharya
This paper focuses on the performance and the robustness analysis of stochastic jump linear systems. The state trajectory under stochastic jump process becomes random variables, wh…
Geodesic Density Tracking with Applications to Data Driven Modeling
Abhishek Halder, Raktim Bhattacharya
Many problems in dynamic data driven modeling deals with distributed rather than lumped observations. In this paper, we show that the Monge-Kantorovich optimal transport theory pro…
A Probabilistic Method for Nonlinear Robustness Analysis of F-16 Controllers
Abhishek Halder, Kooktae Lee, Raktim Bhattacharya
This paper presents a new framework for controller robustness verification with respect to F-16 aircraft's closed-loop performance in longitudinal flight. We compare the state regu…
Probabilistic Model Validation for Uncertain Nonlinear Systems
Abhishek Halder, Raktim Bhattacharya
This paper presents a probabilistic model validation methodology for nonlinear systems in time-domain. The proposed formulation is simple, intuitive, and accounts both deterministi…